Exact Travelling Wave Solutions for Isothermal Magnetostatic Atmospheres by Fan Subequation Method. (4th December 2012)

• Record Type: Journal Article
• Authors: Jafari, Hossein; Ghorbani, Maryam; Khalique, Chaudry Masood
• Other Names: Xu Lan Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2012(2012)
• Publication Date: 2012-12-04
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2012/962789
• Languages: English
• ISSNs: 1085-3375

Abstract

Abstract : The equations of magnetohydrostatic equilibria for a plasma in a gravitational field are investigated analytically. An investigation of a family of isothermal magnetostatic atmospheres with one ignorable coordinate corresponding to a uniform gravitational field in a plane geometry is carried out. These equations transform to a single nonlinear elliptic equation for the magnetic vector potential u . This equation depends on an arbitrary function of u that must be specified. With choices of the different arbitrary functions, we obtain analytical solutions of elliptic equation using the Fan subequation method.